Ask each child to create a passport with your help by pasting a photo of themselves into a construction paper folder and decorating it like a passport. The passport should have a few folded pages inside for their "trip." The child can create a little bio about herself to start as a comparison to the things she will learn. Each week a new country will be visited. Food, art, music and customs of the country can be explored through tasting actual foods, watching videos and listening to music of the country. The child can then create her own stamp-type picture in her book, representing each country she has "visited."
Countries have varied holidays and observances that are often different than those celebrated at home. Spending time celebrating special holidays in class can help the kids experience the types of celebrations other cultures experience first hand. Chinese New Year with paper lanterns and dragons can be explored, with the red envelopes and talks about luck and customs celebrated. St. Patrick's Day, Canada Day, Australia Day, Boxing Day, Bastille Day and so on are all days that can be explored.
Let children sing songs or play games popular with children of the same age group in other countries. They can make maracas like those used in Mexico and other Latin countries. A rain stick is an interesting instrument that is also Latin in origin, mainly South America. A number of actual games can be played, such as one in Italy where the "witch" calls a color, and all the children must rush to touch an object of that color before the witch catches them and they become the witch. Bilingual songs and other games that a child may celebrate with family at home and can share with the class are good ways for children to have fun learning another child's culture.
Native American cultures utilize the talking stick to denote who in the circle has the turn to talk or say their piece. When preschool children get together, keeping them focused on the one person who should be talking and not all sharing at once can be difficult. The talking stick can be passed around the group to bring home such a lesson and also teach how other cultures use different tactics to teach and learn.